Extended harmonic analysis of phase space representations for the Galilei group (Q1082462)
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scientific article; zbMATH DE number 3973195
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extended harmonic analysis of phase space representations for the Galilei group |
scientific article; zbMATH DE number 3973195 |
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Extended harmonic analysis of phase space representations for the Galilei group (English)
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1986
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A systematic method for finding all the irreducible subrepresentations of the projective phase space representations [the second author, Stochastic quantum mechanics and quantum spacetime (1984; Zbl 0536.60100)] of the Galilei group is presented. The spaces of the irreducible subrepresentations are shown to be reproducing kernel Hilbert spaces and a physical interpretation of the obtained results is then given in terms of systems of covariance [cf. the authors, Acta Appl. Math. 6, 1-18 (1986; see the preceding review)].
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harmonic analysis
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phase space representations
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Galilei group
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reproducing kernel Hilbert spaces
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systems of covariance
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